Rainbow Scattering in Inelastic Molecular Collisions
Chapter
Abstract
The role of rainbow scattering in elastic collisions of atoms and atomic ions is well known1,2 and provides an important link between experimental observation and the theoretical potential energy curve which governs the dynamics of the colliding atoms. Only recently, however, has the analogous phenomenon in the case of non-spherical potentials and inelastic collisions been investigated.
Keywords
Potential Energy Surface Impact Parameter Differential Cross Section Deflection Angle Heavy Black Line
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References
- 1.R. B. Bernstein, Quantum effects in elastic molecular scattering, Advan. Chem. Phys. 10: 75 (1966).CrossRefGoogle Scholar
- 2.U. Buck, Elastic scattering, Advan. Chem. Phys. 30: 313 (1975).CrossRefGoogle Scholar
- 3.W. Eastes, U. Ross, and J. P. Toennies, Experimental observation of structure in the distribution of final rotational states in small angle inelastic scattering of Li+ from CO (Ec.m. = 4–7 eV), Chem. Phys. 39: 407 (1979).CrossRefGoogle Scholar
- 4.W. Schepper, U. Ross, and D. Beck, Anisotropy of the repulsive intermolecular potential from rotationally inelastic scattering, Z. Phys. A 290: 131 (1979).CrossRefGoogle Scholar
- 5.D. Beck, U. Ross, and W. Schepper, Isotope shift in the bulge effect of molecular scattering, Phys. Rev. A 19: 2173 (1979).CrossRefGoogle Scholar
- 6.K. Bergmann, R. Engelhardt, U. Hefter, and J. Witt, State-to-state differential cross sections for rotational transitions in Na2 + He collisions, J. Chem. Phys. 71: 2726 (1979).CrossRefGoogle Scholar
- 7.K. Bergmann, U. Hefter, and J. Witt, State-to-state differential cross sections for rotationally inelastic scattering of Na2 by He, J. Chem. Phys. 72: 4777 (1980).CrossRefGoogle Scholar
- 8.K. Bergmann, U. Hefter, A. Mattheus, and J. Witt, Resolution of angular rotational rainbows in Na2-Ne collisions, preprint (March, 1980).Google Scholar
- 9.J. A. Serri, A. Morales, W. Moskowitz, D. E. Pritchard, C. H. Becker, and J. L. Kinsey, Observation of halos in rotationally inelastic scattering of Na2 from Ar, J. Chem. Phys. 72: 6304 (1980).CrossRefGoogle Scholar
- 10.L. D. Thomas, Classical trajectory study of differential cross sections for Li+-CO and N2 inelastic collisions, J. Chem. Phys. 67: 5224 (1977).CrossRefGoogle Scholar
- 11.L. D. Thomas, W. P. Kraemer, G. H. F. Diercksen, and P. McGuire, Comparison of classical mechanics and the coupled states approximation for Li+-CO scattering on an Ab initio calculated CI potential energy surface, Chem. Phys. 27: 237 (1978).CrossRefGoogle Scholar
- 12.L. D. Thomas, Solution of the coupled equations of inelastic atom-molecule scattering for a single initial state, J. Chem. Phys. 70: 2979 (1979).CrossRefGoogle Scholar
- 13.L. D. Thomas, W. P. Kraemer, and G, F. H. Diercksen, Low angle scattering of Li+ by CO, Chem. Phys. Lett. 74: 445 (1980).CrossRefGoogle Scholar
- 14.L. D. Thomas, On rainbow scattering in inelastic molecular collisions, J. Chem. Phys. 73: 5905 (1980).CrossRefGoogle Scholar
- 15.D. Beck, U. Ross, and W. Schepper, Rotationally inelastic classical scattering from an anisotropic rigid shell potential of rotation symmetry, Z. Phys. A 293: 107 (1979).CrossRefGoogle Scholar
- 16.R. Schinke, Theoretical studies of vib-rotational excitation of Li+-H2 collisions at intermediate energies, Chem. Phys. 34: 65 (1978).CrossRefGoogle Scholar
- 17.R. Schinke and P. McGuire, Rotational rainbow oscillations in He-Na2 collisions: Comparison between coupled states and infinite order sudden approximations, J. Chem. Phys. 71: 4201 (1979).CrossRefGoogle Scholar
- 18.R. Schinke, Quantum effects in rotationally inelastic molecular scattering: K + N2 and K + CO collisions on simple model surfaces, J. Chem. Phys. 72: 1120 (1980).CrossRefGoogle Scholar
- 19.R. Schinke, Rotational rainbow maxima: A time dependent study, Chem. Phys. 47: 287 (1980).CrossRefGoogle Scholar
- 20.H. J. Korsch and R. Schinke, A uniform semiclassical sudden approximation for rotationally inelastic scattering, J. Chem. Phys. 73: 1222 (1980).CrossRefGoogle Scholar
- 21.R. Schinke, Inversion of rotationally inelastic differential cross sections under sudden conditions, J. Chem. Phys. 73: 6117 (1980).CrossRefGoogle Scholar
- 22.R. Schinke, W. Müller, W. Meyer, and P. McGuire, Theoretical investigation of rotational rainbow structures in X-Na2 collisions using CI potential surfaces. I. Rigid-rotor X=He scattering and comparison with state-to-state experiments, J. Chem. Phys., submitted for publication.Google Scholar
- 23.J. M. Bowman, Rotational rainbows in inelastic atom-molecule differential cross sections, Chem. Phys. Lett. 62: 309 (1979).CrossRefGoogle Scholar
- 24.C. B. Boyer, “The Rainbow from Myth to Mathematics”, Thomas Yoseloff, New York (1959).Google Scholar
- 25.L. W. Taylor, “Physics: The Pioneer Science”, Houghton Mifflin Co., The Riverside Press, Cambridge (1941), pp. 498–503.Google Scholar
- 26.Descartes, “Les Meteores” (1637), see English translation in: W. F. Magie, “A Source Book in Physics”, McGraw-Hill, New York (1935), p. 273.Google Scholar
- 27.Reference 25, p. 406.Google Scholar
- 28.I. Newton, “Opticks: Or a Treatise of the Reflections, Refractions, Inflections and Colours of Light”, 3rd ed., London (1721), p. 147.Google Scholar
- 29.G. B. Airy, On the intensity of light in the neighborhood of a caustic, Trans. Camb. Phil. Soc. 6: 379 (1838).Google Scholar
- 30.A. Sommerfeld, “Optics”, Academic, New York (1954), p. 352.Google Scholar
- 31.R. Mecke, Andere Fälle von Beugung, Chapter 3 in: “Handbuch der Physik”, Vol. 20, H. Konen, ed., Springer, Berlin (1928), p. 67.Google Scholar
- 32.H. Goldstein, “Classical Mechanics”, Addison-Wesley, Reading, MA (1950), p. 82.Google Scholar
- 33.K. W. Ford and J. A. Wheeler, Semiclassical description of scattering, Ann. Phys. 7: 259 (1959).CrossRefGoogle Scholar
- 34.F. A. Morse, R. B. Bernstein, and H. U. Hostettler, Evaluation of the intermolecular potential well depth from observations of rainbow scattering: Cs-Hg and K-Hg, J. Chem. Phys. 36: 1947 (1962).CrossRefGoogle Scholar
- 35.U. Buck and H. Pauly, Determination of intermolecular potentials by the inversion of molecular beam scattering data. II. High resolution measurements of differential scattering cross sections and the inversion of the data for Na-Hg, J. Chem. Phys. 54: 1929 (1971).CrossRefGoogle Scholar
- 36.W. H. Miller, The classical S-matrix in molecular collisions, Advan. Chem. Phys. 30: 77 (1975).CrossRefGoogle Scholar
- 37.W. H. Miller, Semiclassical theory of atom-diatom collisions: Path integrals and the classical S matrix, J. Chem. Phys. 53: 1949 (1970).CrossRefGoogle Scholar
- 38.J. N. L. Connor and R. A. Marcus, Theory of semiclassical transition probabilities for inelastic and reactive collisions. II. Asymptotic evaluation of the S matrix, J. Chem. Phys. 55: 5636 (1971).CrossRefGoogle Scholar
- 39.W. R. Gentry, Ion-dipole scattering in classical perturbation theory, J. Chem. Phys. 60: 2547 (1974).CrossRefGoogle Scholar
- 40.R. Böttner, U. Ross, and J. P. Toennies, Measurements of rotational and vibrational quantum transition probabilities in the scattering of Li+ from N2 and CO at center of mass energies of 4.23 and 7.07 eV, J. Chem. Phys. 65: 733 (1976).CrossRefGoogle Scholar
- 41.L. D. Thomas, The calculation of classical transition probabilities in atom-molecule collisions for fixed total angular momentum, Chem. Phys. Lett. 51: 35 (1977).CrossRefGoogle Scholar
- 42.L. D. Thomas, W. P. Kraemer, and G. H. F. Diercksen, Classical trajectory study on an Ab initio CI vibrotor potential energy surface for Li-CO differential cross sections, Chem. Phys. 30: 33 (1978).CrossRefGoogle Scholar
- 43.R. J. Cross, Jr., Classical small-angle scattering from anisotropic potentials, J. Chem. Phys. 46: 609 (1967).CrossRefGoogle Scholar
- 44.R. M. Harris and J. F. Wilson, Optical model analysis of non-reactive collisions of reactive molecules: Scattering of K, Rb, and Cs from CCl4, CH3I, and SnCl4, J. Chem. Phys. 54: 2088 (1971).CrossRefGoogle Scholar
- 45.U. Buck and V. Khare, A comparison of different sudden approximations for molecular scattering, Chem. Phys. 26: 215 (1977).CrossRefGoogle Scholar
- 46.F. E. Budenholzer and E. A. Gislason, Classical differential cross sections for anisotropic potentials, J. Chem. Phys. 68: 4222 (1978).CrossRefGoogle Scholar
- 47.U. Buck, F. Gestermann, and H. Pauly, Double rainbows in atom-molecule scattering, Chem. Phys. Lett. 33: 186 (1975).CrossRefGoogle Scholar
- 48.P. McGuire and D. J. Kouri, Quantum mechanical close coupling approach to molecular collisions. jz-conserving coupled states approximation, J. Chem. Phys. 60: 2488 (1974).CrossRefGoogle Scholar
- 49.R. T Pack, Space-fixed vs. body-fixed axes in atom-diatomic molecule scattering. Sudden approximations, J. Chem. Phys. 60: 633 (1974).CrossRefGoogle Scholar
- 50.G. E. Zahr and L. D. Thomas, Semiclassical calculation of rotational rainbows in coplanar Li+-CO collisions, to be published.Google Scholar
- 51.R. Goldflam, S. Green, and D. J. Kouri, Infinite order sudden approximation for rotational energy transfer in gaseous mixtures, J. Chem. Phys. 67: 4149 (1977).CrossRefGoogle Scholar
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